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Agata [3.3K]
3 years ago
13

I been stuck on dis for a long time

Mathematics
1 answer:
melamori03 [73]3 years ago
3 0

Answer:

Direct

Step-by-step explanation:

I had this same question on my exam

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Let f(x) = (x − 3)−2. find all values of c in (1, 4) such that f(4) − f(1) = f '(c)(4 − 1). (enter your answers as a comma-separ
Verizon [17]

If the function is (x-3)^{-2} and  f(4) − f(1) = f '(c)(4 − 1) then there is not any answer.

Given function is (x-3)^{-2} and  f(4) − f(1) = f '(c)(4 − 1).

In this question we have to apply the mean value theorem, which says that given a secant line between points A and B, there is at least a point C that belongs to the curve and the derivative of that curve exists.

We begin by calculating f(2) and f(5):

f(2)=(2-3)^{-2}

f(2)=1

f(5)=(5-3)^{-2}

f(5)=1

And the slope of the function:

f^{1}(x)=f(5)-f(2)/(5-2)

f^{1}(c)=0

Now,

f^{1} (x)=-2*(x-3)^{-3}

=-2(x-3)^{-3}

=0

-2 is not equal to 0. So there is not any answer.

Hence if the function is (x-3)^{-2} and  f(4) − f(1) = f '(c)(4 − 1) then there is not any answer.

Learn more about derivatives at brainly.com/question/23819325

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2 years ago
Heights of women have a​ bell-shaped distribution with a mean of 159159 cm and a standard deviation of 55 cm. using​ chebyshev's
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3 years ago
Find the slope and the Y-intercept of the graph of y-6=3/8x
balandron [24]

Answer:

Slope =3/8

y-intercept is:(0,6)

Step-by-step explanation:

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3 years ago
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Find the missing measure. 50° x°
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2 years ago
A relief package is released form a helicopter at 1600 feet. The height of the package can be modeled by h=16t^2 + 1600, where h
postnew [5]
The equation is <span>h(t) = -16t2 + 1600</span>. 
When the package hits the ground, h(t) = 0: 0 = -16t2 + 1600 To solve by factoring: 0 = -16(t2-100)0 = -16(t+10)(t-10) t = -10 and +10 seconds. 

Since we aren't interested in negative time, t = 10 seconds.
8 0
4 years ago
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